Question1:In a right triangle,the sum of the lengths of the hypotenuse and a leg is 1.Find the largest possible area of such triangle.(adsbygoogle = window.adsbygoogle || []).push({});

Question2:Prove that arctanx=pi/2-1/x+o(1/x)(x tends to +inf)

Question3:evaluate lim(2arctanx/pi)^2 (x tends to +inf)

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# Some calculus

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